Sigurdsson, 22, has been a revelation since joining on loan from Bundesliga side Hoffenheim in January, and has scored six goals in his 10 appearances for the Swans - four of them in March.
Rodgers, who worked at Chelsea as a youth and reserve team coach under Jose Mourinho and Luiz Felipe Scolari, said of Sigurdsson: "He is in the Frank Lampard mould, he gets into the six-yard box, is willing to get his shot off with his left or right foot and can score with his head like he did at Fulham."
The Northern Irishman said Sigurdsson had been a "wonderful acquisition", and added: "I knew what I was getting and he has delivered brilliantly and hopefully he can continue that until the end of the season."
The Icelandic scored both goals in the 2-0 win at Wigan and grabbed another brace in the excellent 3-0 victory at Fulham, as well as helping Swansea beat then-leaders Manchester City 1-0.
Rodgers went on: "He is a goalscoring midfield player and you don't get too many of those. But he has that instinct, he was born with it and he works very hard on his shooting and finishing.
"He is still very young but he is a player who can do well at this level, as he has shown. He has the same hunger as Frank, who wanted to be better every single day."
Sigurdsson's loan spell runs out at the end of the season and Swansea would like to keep the player.
But Rodgers, who is preparing his side for Friday's meeting with Newcastle, is not concerned that Sigurdsson's impressive form may mean he is less likely to end up with Swansea next season, as it drives up the player's value.
He said: "It will create interest in him. First and foremost, he is a Hoffenheim player and he has two years left there so I am sure they will have a bit to say. His six months coming here will have really opened up the eyes of people, but I can't worry about that and don't worry about that."
Source: PA
Source: PA